MATHEMATICS COLLEGE

Find the value of x​
Find the value of x​ - 1

Answers

Answer 1
Answer:

Answer:

x = 70

Step-by-step explanation:

the sum of the interior angles of a hexagon is 720 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 720 degrees.

Now,

102+146+158+120+124+x=720

or,650+x=720

or,x=70

Therefore The value of X is 70 degree.
Answer 2
Answer: no x’s have no value

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A manufacturer has a monthly fixed cost of $750 and a production cost of $15 for each item x that is produced. The product sells for $37 per item.Write the equation of the total cost function, C(x), in terms of x.Write the equation of the total revenue function, R(x), in terms of x.Write the equation of the profit function, P(x), in terms of x. Simplify P(x) completely.

The numbers of words defined on randomly selected pages from a dictionary are shown below. Find the mean, median, mode of the listed numbers. 30 31 64 59 57 33 54 77 56 41 What is the mean? Select the correct choice below and ,if necessary ,fill in the answer box within your choice.(around to one decimal place as needed)

Answers

Answer:

30 31 64 59 58 33 54 77 56 41 (arrange it)

30 31 33 41 54 56 58 59 64 77 (done!)

Mean: Find the number in the middle (54+56)/2= 110/2 = 55

Mode: None

Mean: (30+31+33+41+54+56+58+59+64+77)/10=503/10= 50,3

When we expand (2x + 1/2)^6, what is the coefficient on the x^4 term?

Answers

Answer: The coefficient before x^4 is 60

Step-by-step explanation:

Hey! So I am not an expert at this, but you have to use the binomial theorem

I have attached of the Pascals Triangle (one shows the row numbering as well)

Basically in a pascal triangle, you add the two numbers above it to get the next number below

As you can see, the rows start from 0 instead of 1

The 6th row contains the numbers 1, 6, 15, 20, 15, 6, 1 which would be the coefficient terms

NOTE: the exponents always add to 6, the first term starts at 6 and decrease it's exponent by 1 each time (6, 5, 4, 3, 2, 1, 0) and the second term increases it's exponent by 1 each time (0, 1, 2, 3, 4, 5, 6)

Using this information the third term from the sixth row (15) would be where it is x^4 (I have circled it on the second image)

It would be 15 × 2^4 × (1/2)^2 = 60

The reason why it is 2^4 and (1/2)^2 is because the third term has the exponents 4 and 2 (bolded on the NOTE) which means that the first term must be put to the power of 4 and the second term must be put to the 2nd power

Sorry for the lousy explanation. I really hope this makes sense! Let me know if this helped :)

Which is the equation of an ellipse centered at the origin with foci on x-axis, x-intercepts +7, -7 and y-intercepts +2, -2?

Answers

we know that
foci on x-axis-------> is a ellipse with horizontal major axis

the equation is
(x²/a²)+(y²/b²)=1

major axis is the x-axis with length 2a
2a=14--------> a=7

minor axis is the y-axis with length 2b
2b=4-----> b=2

the equation is
(x²/a²)+(y²/b²)=1------> (x²/7²)+(y²/2²)=1-----> (x²/49)+(y²/4)=1

the answer is
(x²/49)+(y²/4)=1

see the attached figure

Answer:

It's B on edge.

Step-by-step explanation:

Lines m and n are parallel. The equation of line m is y=3x+3. What is the equation of line n?

Answers

The equation for line n is y = 3x + c

What is the equation of a straight line ?

An equation of a straight line is given by y = mx+c, where m is the slope and c is the intercept on the y axis.

In the question it is given that

Lines m and n are parallel to each other.

The equation of line m is y=3x+3

The equation of line n =?

The parallel lines m an n will have same slope but different intercept.

So the slope in the line equation y=3x+3 is 3

m = 3

Taking c as the intercept by the line n on y axis.

The equation for line n is y = 3x + c

To know more about equation of a straight line

brainly.com/question/959487

#SPJ2

Answer:

y=3x-1

Step-by-step explanation:

You would have to change the y-intercept but that's all. Also, I put this answer into my ttm and got it right.

Tara has a box of 908 beads for an bracelet she wants to put 15 beads on each bracelet what is the greatest number please help me

Answers

The maximum 60 bracelets, Tara can have with 15 beads in each bracelet.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into same number of parts.

Given, Tara has a box of 908 beads.

And one bracelet has 15 beads as per Tara's wish.

To find the number of bracelets,

we divide the total beads to beads in one bracelet.

That means,

Number of bracelets = 908 / 15= 60 (rounded)

Therefore, the maximum 60 bracelets, Tara can have with 15 beads in each bracelet.

To learn more about the division;

brainly.com/question/13263114

#SPJ2

Answer:

60 bracelets

Step-by-step explanation:

908 / 15 = 60.5

you can not have half a bead on the bracelets so round down because you only have 908 beads and do not have more.

Find the length of the curve. R(t) = 2 i + t2 j + t3 k, 0 ≤ t ≤ 1

Answers

Length of a curve is the length of its plot its curve. The length of the given curve for given range of t is: L = 1.44 units approx.

How to find the length of a curve?

If the curve has position vector p(x) for value of x ranging from x = a to x = b,

then, the curve's length is calculated as:

L = \int_a^b ||p'(x)||dx\n units.

For the given case, we have:

Position vector =  R(t) = 2\hat i + t^2 \hat j + t^3 \hat k

Its differentiation gives:

R'(t) = 2t\hat j + 3t^2\hat k

Its non negative magnitude is: ||R'(t)|| = √((2t)^2 + (3t^2)^2) = t√(4+9t^2)

Thus, as t ranges from a = 0 to b = 1, thus, length of the curve is:

L = \int_0^1 (t√(4+9t^2))dt\n\n\text{Let v = 4+9}t^2, \text{then dv = 18tdt}\nand\nt=0\implies v = 4\nt=1 \implies v = 13\nThus,\nL = \int_4^(13)((√(v))/(18))dv = (1)/(18) [(2(v)^(3/2))/(3)]^(13)_4 \approx (38.87)/(27) \approx 1.44 \: \rm units

Thus,

The length of the given curve for given range of t is: L = 1.44 units approx.

Learn more about length of the curve here:

brainly.com/question/4464059

curve equation is

\n \vec{R}\left ( t \right ) = 2\hat{i}+t^(2)\hat{j} + t^(3)\hat{k}  ,0≤ t≤ 1

now taking the differentiation

\n{R}'t = 2t\hat{i} + 3t^(2)\hat{j}

now taking the modulus

\left \| {R}'(t) \right \|=\sqrt{4t^(2) +9t^(4)}

                                      = \sqrt{4 + 9 t^(2) } .t

now taking the integration

length of the curve =   \n\int t\sqrt{4 + 9 t^(2)} dt\n

now put the value v=  4 + 9t²

                              dv= 18 tdt

now put this value in the above equation

we get

length of the curve =\n(1)/(18)\int √(v)dv\n

now taking integation we get and put the value of the v

we get

= (1)/(18)× (2)/(3)×(4 + 9t^(2) )^{(3)/(2) }

= (1)/(27) ( 4 + 9 t^(2) )^{(3)/(2) }

now find out the length of the curve in the interval from 0 to 1.

length of the curve = (1)/(27) (13^{(3)/(2)} -4^{(3)/(2)} )\n=(1)/(27) (13√(13) -8)

Hence proved
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